A NEW ALGORITHM FOR THE SYMMETRIC SOLUTION OF THE MATRIX EQUATIONS AXB = E AND CXD = F

被引：6

作者：

Li, Chunmei ^{[1
]}

Duan, Xuefeng ^{[1
]}

Li, Juan ^{[2
]}

Yu, Sitting ^{[2
]}

机构：

[1] Guilin Univ Elect Technol, Coll Math & Computat Sci, Guangxi Key Lab Cryptog & Informat Secur, Guilin 541004, Peoples R China

[2] Guilin Univ Elect Technol, Coll Math & Computat Sci, Guilin 541004, Peoples R China

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2018年 / 9卷 / 01期

基金：

中国国家自然科学基金;

关键词：

matrix equation; new algorithm; symmetric solution; alternating projection method; ITERATIVE METHOD; PROJECTION; SYSTEM; SETS;

D O I：

10.1215/20088752-2017-0019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a new iterative algorithm to compute the symmetric solution of the matrix equations AXB = E and CXD = F. The greatest advantage of this new algorithm is higher speed and lower computational cost at each step compared with existing numerical algorithms. We state the solutions of these matrix equations as the intersection point of some closed convex sets, and then we use the alternating projection method to solve them. Finally, we use some numerical examples to show that the new algorithm is feasible and effective.

引用

页码：8 / 16

页数：9

共 13 条

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